The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice

We numerically study the dynamical excitations in Bose-Einstein condensate (BEC) placed in periodic and quasiperiodic 2D optical lattice (OL). In case of the repulsive mean-field interaction the BEC quantum tunneling leads to a progressive soliton's splitting and generating of secondary solitons, which migrate to closest trapping potential minima. A nontrivial soliton dynamics appears when a series of π-pulses (phase kicks) are applied to the optical lattice. Such sudden perturbation produces a dynamic redistribution of the secondary solitons, leading to a formation of an artificial solitonic superlattice. Different geometries of OL are analyzed.